The following data are taken from a polynomial of degree >= 5. What is the polynomial and what is its degree?

x| -2, -1, 0, 1, 2, 3

p(x)| -5, 1, 1, 1, 7, 25

Not sure how to go about finding the poly...

I know I need to apply Newton's Divided Difference Interpolation Formula some how; I just not sure how? Thanks